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arXiv · 2309.10315

On (co-)morphisms of $n$-Lie-Rinehart algebras with applications to Nambu-Poisson manifolds

Yanhui Bi·Zhixiong Chen·Tao Zhang
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Abstract

In this paper, we give a unified description of morphisms and comorphisms of $n$-Lie-Rinehart algebras. We show that these morphisms and comorphisms can be regarded as two subalgebras of the $\psi$-sum of $n$-Lie-Rinehart algebras. We also provide similar descriptions for morphisms and comorphisms of $n$-Lie algebroids. It is proved that the category of vector bundles with Nambu-Poisson structures of rank $n$ and the category of their dual bundles with $n$-Lie algebroid structures of rank $n$ are equivalent to each other.

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BibTeXRIS

Yanhui Bi, Zhixiong Chen, Tao Zhang. 2023-09-19. On (co-)morphisms of $n$-Lie-Rinehart algebras with applications to Nambu-Poisson manifolds. https://arxiv.org/abs/2309.10315

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